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Finding the Fourth Proportional to 10,095.78, 15,145.48 and 3,432.90

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Solution

The fourth proportional to 10,095.78, 15,145.48 and 3,432.90 is: 5,149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.78 : 15,145.48 = 3,432.90 : x
  2. Step 2: Convert to fraction form
    10,095.78/15,145.48 = 3,432.90/x
  3. Step 3: Cross multiply
    10,095.78x = 15,145.48 × 3,432.90
  4. Step 4: Simplify right side
    10,095.78x = 51,992,918.29
  5. Step 5: Solve for x
    x = 51,992,918.29/10,095.78
  6. Step 6: Final answer
    x = 5,149.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.